Answer:
C. 25/4
Step-by-step explanation:
Remember to calculate the slope you jus have to use the nect formula:
[tex]slope=\frac{y^{2}- y^{1} }{x^{2} -x^{1} }[/tex]
So you just firs pick your two points on each segment, to make it easier we would select in both segments the inital and final point:
BE= (3,0)(4,5)
AE=(0,0)(4,5)
So to calculate the slope of BE we just put the values into the formula:
[tex]slope=\frac{y^{2}- y^{1} }{x^{2} -x^{1} }[/tex]
[tex]slope=\frac{5-0}{4-3}[/tex]
[tex]slope=\frac{5}{1}[/tex]
[tex]slope=5[/tex]
So to calculate the slope of AE we just put the values into the formula:
[tex]slope=\frac{y^{2}- y^{1} }{x^{2} -x^{1} }[/tex]
[tex]slope=\frac{5-0}{4-0}[/tex]
[tex]slope=\frac{5}{4}[/tex]
So now that you have both slope you just make the division:
[tex]\frac{slopeBE}{slopeAE}[/tex]
[tex]\frac{5}{\frac{4}{5}}[/tex]
[tex]\frac{25}{4}[/tex]
So the answer to the problem would be [tex]\frac{25}{4}[/tex]
